Respuesta :
This product could be zero if one or both of the parenthesis are zero.
3x-9=0; 3x=9; x= 3
5x-3=0; 5x=3; x=3/5
The solution is { 3/5, 3}
3x-9=0; 3x=9; x= 3
5x-3=0; 5x=3; x=3/5
The solution is { 3/5, 3}
Answer:
({3,\frac{3}{5} })
Step-by-step explanation:
Given is an equation in x with two factors on left side and 0 on right side as
[tex](3x−9)(5x−3)=0[/tex]
We know that when product of two factors is zero, then any one of the factors can be 0
Equate each factor to 0
[tex](3x−9)=0\\(5x−3)=0\\x=3\\x=\frac{3}{5}[/tex]
Thus we have two solutions
x=3\\
x=\frac{3}{5}
Solution set is
[tex]({3,\frac{3}{5} })[/tex]